To find [tex]\( g(-4) \)[/tex] given the function [tex]\( g(x) = 4x - 5 \)[/tex], follow these steps:
1. Identify the given function: [tex]\( g(x) = 4x - 5 \)[/tex].
2. Substitute [tex]\( x = -4 \)[/tex] into the function:
[tex]\[
g(-4) = 4(-4) - 5
\][/tex]
3. Perform the multiplication inside the parentheses:
[tex]\[
4 \cdot (-4) = -16
\][/tex]
4. Substitute this result back into the equation:
[tex]\[
g(-4) = -16 - 5
\][/tex]
5. Finally, perform the subtraction:
[tex]\[
-16 - 5 = -21
\][/tex]
So, [tex]\( g(-4) = -21 \)[/tex].
